##### Get a free home demo of LearnNext

Available for CBSE, ICSE and State Board syllabus.
Call our LearnNext Expert on 1800 419 1234 (tollfree)
OR submit details below for a call back

clear

Keisam Robin

Oct 11, 2013

# Find the length of the longest rod that can be placed in a room

Find the length of the longest rod that can be placed in a room 12 m long, 9 m broad and 8 m high.

Syeda

Answer.     Given length l = 12 m breadth b = 9 m and height h = 8 m Longest rod that can be placed in a room is nothing but its diagonal. Length of diagonal of a cuboid = √(l2 + b2 + h2) Length of longest rod = √(122 + 92 + 82) m = √(144 + 81 + 64) m = √289 m = 17 m Thus the length of the longest rod is 17 m

Member since Apr 1, 2017

$\fn_cm \\Solution:\\ Given\ dimensions\ are\\ Length\ (l)=12m\\ Breadth\ (b)=9m\\ Height\ (h)=8m\\\\ Imagine\ we\ can\ place\ the\ longest\ length\ of\ rod ,\ along\ the\ diagonal\ of\ the\ room\\\\ We\ have,\\\\ Daignal(d))=\sqrt{l^2+b^2+h^2}\\\\ \Rightarrow d=\sqrt{12^2+9^2+8^2}\\\\ \Rightarrow d=\sqrt{144+81+64}\\\\ \Rightarrow d=\sqrt{278}\\\\ \Rightarrow d=17m\\\\ \therefore The\ longest\ length\ of\ rod\ that\ can\ be\ placed\ in\ a\ room=17m$

Mridu

Longest chord -- square root of length X length plus breadth X breadth plus height X height (write in mathematical form) is equal to 289

Kishore Kumar

Given length l = 12 m breadth b = 9 m and height h = 8 m Longest rod that can be placed in a room is nothing but its diagonal. Length of diagonal of a cuboid = √(l2 + b2 + h2) Length of longest rod = √(122 + 92 + 82) m = √(144 + 81 + 64) m = √289 m = 17 m Thus the length of the longest rod is 17 m.
###### Like NextGurukul? Also explore our advanced self-learning solution LearnNext
Offered for classes 6-12, LearnNext is a popular self-learning solution for students who strive for excellence
Explore
Animated Video
lessons
All India
Test Series
Interactive Video
Experiments
Best-in class
books